Atkin-Lehner |
2- 3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31020c |
Isogeny class |
Conductor |
31020 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-589628160 = -1 · 28 · 34 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -1 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-181,-1439] |
[a1,a2,a3,a4,a6] |
Generators |
[64:495:1] |
Generators of the group modulo torsion |
j |
-2575826944/2303235 |
j-invariant |
L |
4.9728071606703 |
L(r)(E,1)/r! |
Ω |
0.627180323814 |
Real period |
R |
1.9822078961397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124080bx1 93060p1 |
Quadratic twists by: -4 -3 |